A square with area 144 has the same perimeter as a rectangle with width 3. What is the length of the rectangle?

Simplify the expression. Rewrite using only positive exponents.

Dvinal [7]

The simplified form of the given expression is $x^{18}a^{3}b^{3}$ .

The given expression is $(\frac{x^{4}a^{2}b^{3} }{x^{-2}ab^{2}} )^{3}$ .

We need to simplify the given expression.

<h3>What are the basic laws of exponents?</h3>

The basic laws of exponents are as follows:

$a^{m} \times b^{m} =(ab)^{m}$

$a^{m} \div b^{m} =(\frac{a}{b} )^{m}$

$a^{m} \times a^{n} =(a)^{m+n}$

$a^{m} \div a^{n} =(a)^{m-n}$

Now, $(\frac{x^{6}a^{2}b^{3} }{ab^{2}} )^{3}=(\frac{x^{18}a^{6}b^{9} }{a^{3}b^{6}} )$

$=x^{18}a^{3}b^{3}$

Therefore, the simplified form of the given expression is $x^{18}a^{3}b^{3}$ .

To learn more about the exponents visit:

brainly.com/question/26296886.

#SPJ1

4 0

1 year ago

The table below shows the numbers of tickets sold at a movie theater on Friday.

prisoha [69]

Answer:

Number of Adult's tickets sold on Saturday = 3,356

Number of Children's tickets sold on Saturday = 2, 928

Total number of tickets sold over these two days is 8,938.

Step-by-step explanation:

Here, the number of tickets sold on FRIDAY:

Adult Ticket sold = 1,678

Children's Tickets sold = 976

So, the total number of tickets sold on Friday

= Sum of ( Adult + Children's ) tickets = 1,678 + 976 = 2,654 .... (1)

The number of tickets sold on SATURDAY:

Adult Ticket sold = 2 times the number of adult tickets sold on Friday

= 1,678 x 2 = 3,356

Children's Tickets sold = 3 x the number of children's tickets sold on Friday.

= 976 x 3 = 2, 928

So, the total number of tickets sold on Saturday

= Sum of ( Adult + Children's ) tickets = 3,356 + 2,928 = 6, 284 .... (2)

Now, the total number of tickets booked in these two days :

Sum of tickets booked on (Friday + Saturday)

= 2,654 + 6, 284 = 8,938

Hence, total number of tickets sold over these two days is 8,938.

6 0

3 years ago

If 9% of a number equals 30, find 27% of that number.

sergiy2304 [10]

Answer:

90

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is half of 18 !!!

skelet666 [1.2K]

Answer:

9

Step-by-step explanation:

5 0

3 years ago

How would you graph f(x) = 7x + 5 when you reflect it over y axis and translate it 3 units left

SOVA2 [1]

Answer:

See explanation

Step-by-step explanation:

Given the function $f(x)=7x+5$

1. To reflect the graph of the function f(x) over the y-axis, you should change the slope of the line in opposite. The slope of the function f(x) is 7, so the slope of the reflected function will be -7 and the expression of the reflected function will be

$g(x)=-7x+5$

2. To translate the function g(x) 3 units left, add 3 units to x, thus the expression for the function will be

$h(x)=-7(x+3)+5\\ \\h(x)=-7x-21+5\\ \\h(x)=-7x-16$

See attached diagram for details.

8 0

4 years ago